Pith Number

pith:MESKSMB3

pith:2008:MESKSMB33I2F77H4CSG4VM64JR

not attested not anchored not stored refs pending

On exceptional nilpotents in semisimple Lie algebras

A.G. Elashvili, E.B. Vinberg, V.G. Kac

arxiv:0812.1571 v1 · 2008-12-08 · math.GR · math-ph · math.MP · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MESKSMB33I2F77H4CSG4VM64JR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:02:05.953720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6124a9303bda345ffcfc148dcab3dc4c692ea473eb4338d5704d9ab9bc2a1de2

Aliases

arxiv: 0812.1571 · arxiv_version: 0812.1571v1 · doi: 10.48550/arxiv.0812.1571 · pith_short_12: MESKSMB33I2F · pith_short_16: MESKSMB33I2F77H4 · pith_short_8: MESKSMB3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MESKSMB33I2F77H4CSG4VM64JR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6124a9303bda345ffcfc148dcab3dc4c692ea473eb4338d5704d9ab9bc2a1de2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbc1bbf8c897dd2d18dd02dcf16e3d83de2d9fe7c917d6c6e9b471064088c74a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-12-08T21:18:58Z",
    "title_canon_sha256": "931e7531395b0df65304de74b9780dd75f633a3300f801a227dede9a903434e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1571",
    "kind": "arxiv",
    "version": 1
  }
}